Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
distribution, what is the mean and standard deviation of the distribution of test scores?

Answers

Answer 1

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8


Related Questions

Write a real-world problem with y=x(2)+2?

Answers

Answer:

Step-by-step explanation

the diving board is 2 ft then mike jumps 2 more ft off the diving board how high was mike off the ground after he jumped

Kirk had 33 points in the game before getting

18 points for losing control of his plane during a stunt.
What is Kirk's score now?

Answers

Answer:

15

Step-by-step explanation:

Before you answer did you mean

Minus 15 or negative 15?

Answer:

15

Step-by-step explanation:

33-18=15

^"**$;×*:;€$£;€;-

can somebody explain this to me ?, I’m having trouble .

Answers

Answer:

the sum of the two angles is 69. the angle labeled 2 is 17. all you gotta do is subtract 17 from 69, so 52 is your answer

CAN SOMEONE PLEASE HELP ME THIS IS DUE IN 20 mins!!

Answers

Answer:

A. w = 65 + d20 B. w = 30 + m15 C. 65 + (3)20 = 125(w) D. 8

Step-by-step explanation:

i dont now for certain if im right or wrong about C, please correct me if im wrong

Simplify the following expression:

Answers

Answer:

x4 y4

Step-by-step explanation: I'm not sure if you need and step by step. But the 4's are the exponents.

Giselle’s youth club sells cookies to fund their trips and activities. Each year they need to earn $1,247 from selling cookies. For each box of cookies they sell, they make $1.45. If Giselle’s club has already made $472.70 from selling cookies, how many more boxes do they need to sell to meet their goal?

Answers

Answer:

534

Step-by-step explanation:

1247:1.45=860

472.7:1.45=326

860-326=534

Factorise: t3+t2+t+1

Answers

T6+1. you just need to add the same factors (T in this example) and since 1 doesn't have a "friend" it will be alone

Three times a number increased by 4 is 13.
show steps please brainliest if right

Answers

3 times 3 increased by 4 is equal to 13

3*3=9
9+4=13

Given y = 2 - 6 if x = 2, what is the value of y

Answers

Answer:

im gonna assume you mean y=2x-6, if so the answer is -2 (multiply 2*2 then subtract 6)

if you really did mean y=2-6, then you would just subtract 6 from 2 and your answer would be -4

Please answer! I WILL MARK BRAINLIEST!!

Answers

Answer: is this an acute im confused

Step-by-step explanation:

Answer:

NOM, MON, 3, O

Step-by-step explanation:

Help pls it’s due today *photo*

Answers

9514 1404 393

Answer:

   ACBD-BDAC

Step-by-step explanation:

It is convenient to compare the values of each of the functions when h=1. On the graphs, find 1 on the horizontal axis, then read the value of the function at that point from the vertical axis.

For the equations, the value for h=1 will be its coefficient in the equation.

__

1) a: 80,b: 50, c: 75, d: 30

Fastest to slowest is ACBD.

__

2) a: 4, b: 2, c: 8, d: 3

Slowest to fastest is BDAC

__

The code is these lists, separated by a dash: ACBD-BDAC.

If I get to watch my niece for 82 min. and then watch my little cuz for 67 min., how long do I watch both of them? Please include hours and minutes.

Answers

Answer:

2.5 hours roughly (2 hours 29 mins)

Answer:

1:49 is your answer. your welcome

if a = b, then ac = bc

Answers

It should be false but if you have a picture please post it.

1x + 6 = 3x + 8
Solve the equation.

Answers

Answer:

X = -1

Step-by-step explanation:

Step-by-step explanation:

collect like terms on one side

6-8=3x-1x

-2=2x

-2/2=x

-1=x

or

x=-1

Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Again

Answers

f(x)= -2x+1 {-2,0,2,4,6}

If x=-2, then -2(-2)+1 = 5

If x=0, then -2(0)+1 = 1

If x=2, then -2(2)+1 = -3

If x=4, then -2(4)+1 = -7

If x=6, then -2(6)+1 = -11

Answer:

B {5,1,-3,-7,-11}

Answer:

B

Step-by-step explanation:

-2(-2)+1

-2(0)+1

....

just plug the numbers in for x

BRAINLIEST FOR SURE JUST SHOW STEPS AND GET CORRECT 12 points
the quotient of a number and 3 is 10

Answers

Answer:

The answer is 30

Step-by-step explanation:

30 divided by 3 is 10.

Just multiply 3 and 10

Answer:

x = 30

Step-by-step explanation:

Quotient is division

Is means equals

x/3 =10

Multiply each side by 3

x/3 * 3 = 10 *3

x = 30

Kids on a field trip to a dairy farm are gathered in the barn with cows. If
there are 11 heads and 28 legs in the barn, how many kids and how many cows are
in the barn?

Answers

There were 8 kids and 3 cows in the barn.

These types of questions can be very confusing to grasp if you don’t know what to look for. In this case you need to really think about the words given.

When talking about heads, a cow and a kid have the same amount (one of course). So when the question states we have a total of 11 heads, we also have a total of 11 cows and kids combined. We can state this as x+y=11 (x being for the amount of kids and y being the amount of cows.) we can now put this equation to the side for now and find the next equation needed.

We then need to use the given legs in the barn, in which case kids have 2 and cows have 4, therefore we can get the equation 2x+4y=28 (x being the amount of kids and y being the amount of cows).

We now have two options to do complete this task: elimination and substitution. We’ll do substitution as to I confuse you too much.

So we have two equations x+y=11 and 2x+4y=28. We need to substitute in our value for x or y. So to do this I will find what x equals from the first equation we made (x+y=11). First subtract y from both sides of the equation to get x=11-y.

Next (so we can make this even simpler) let’s grab the equation 2x+4y=28 and make it simplified even more by halving the entire equation because all the numbers are even, leaving us with x+2y=14.

Now here’s the substitution part, since we have the first equation as to what x would equal (x=11-y) we then put that into the new equation x+2y=14. The equation that will solve for y while now look like 11-y+2y=14. Now we want to add like terms to get 11+y=14 and then subtract by 11 to get y by itself which leaves us with y=3. Y is stated in our equation to be the amount of cows, therefore we have 3 cows. Because we had a total of 11 cows and kids, we can then infer there are 8 kids in the barn based on the previous equation x+y=11 now being x+3=11.

Vertical angles are supplements of each other
a. sometimes
b. always
c. never

Answers

Answer:

a sometimes

Step-by-step explanation:

Vertical angles are equal

If they both are 90 degrees, then they are supplements because they add to 180

So the correct answer is sometimes

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

The prepaid phone plan will have a steeper line and lower y-intercept.
The contracted phone plan will have the same steepness and a higher y-intercept.
The prepaid phone plan will have a less steep line and the same y-intercept.
The contracted phone plan will have a steeper line and same y-intercept.

Answers

Answer:

A (The prepaid phone plan will have a steeper line and lower y-intercept.)

Step-by-step explanation:

because  i say so

The way the graphs of the two cell phone plans would be is The prepaid phone plan will have a steeper line and lower y-intercept.

How to solve for the intercept and the slope

The price of the prepaid is $.20 per minute. This means that as the time goes on, the usage would rise hence a steeper line.

Given that there is no monthly fee for the prepaid, there would be a a smaller value for the y intercept.

Read more on this graph here:

https://brainly.com/question/16789337

#SPJ9

what is 4.08 as a fraction number

Answers

Simplified: 102/25
Mixed number: 4 2/25

Step-by-step explanation:

As a mixed fraction:

.08 is 8/100.

[tex]4 \frac{8}{100} [/tex]

As an improper fraction:

[tex] \frac{(100 \times 4) + 8}{100} [/tex]

[tex] \frac{408}{100} [/tex]

Simplify by dividing the numerator by the greater common factor of 408 and 100, 4.

[tex] \frac{102}{25} [/tex]

PLZZZZZ Help I will Give Brainliest


The graph represents the journey of a bus from the bus stop to different locations: The title for the graph is Bus Journey. The label on the y-axis is Distance in miles, and the label on the x-axis is Time in hours. The graph shows 5 parts. The part labeled 1 is a smooth curve going up from the origin. The part labeled 2 is a straight horizontal line. The part labeled 3 is a smooth curve going down. The part labeled 4 is a straight horizontal line. The part labeled 5 is a smooth curve going up. Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer. (2 points)

Answers

Answer:

See below

Step-by-step explanation:

A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.

B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.

C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.

In the first segment, the bus picks up pace. The bus maintains its constant speed in segment 2. The bus is slowing down in part three. Part 4 finds the bus moving steadily once more. Part 5 sees the bus picking up pace once more.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.

B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.

C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.

To know more about coordinate geometry follow

https://brainly.com/question/26481402

#SPJ2

5+8-3+5=? Help me out, this polyte person needs help

Answers

15 is the answer


5+8=13

13-3=10

10+5=15

Hope this helps

what is the answer to 3 - (-1)

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you just subtract -1 from 3 and get the answer

a fence is 7 foot 6 inches high 1 foot=12 inches what is the height of the fence in centimetres

Answers

Given parameters:

Height of fence  = 7 foot 6 inches

Unknown:

Height of fence in centimetres = ?

Also, 1 foot  = 12 inches

This is a conversion problem. We are to take this height dimension to centimetres from the given values.

     7 foot 6 inches;

                 We first convert the inches to foot;

                      12 inches  = 1 foot

                       6 inches  =    [tex]\frac{6}{12}[/tex]   = 0.5foot

Now, the given height in foot = 7 foot + 0.5 foot  = 7.5foot

We then take this amount and convert to centimetre;

                1 foot  = 30.5 cm

               7.5 foot  =   (30.5 x 7.5)cm = 228.75cm

The height is therefore, 228.75cm

Mike hiked to a lake in 5.5 hours at an average rate of 4 - miles per hour. Pedro hiked the same distance at
of A
3
a rate of 4 miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
5
It took Pedro
hours to reach the lake.


PLS HELP!!!!

Answers

Answer:3.1957 hours

Step-by-step explanation:

Bella brought candy to give
to 12 of her friends.
Each friend received 4
pieces of candy.
How many pieces of candy
did she bring to school?
Write an equation to determine how many pieces of candy Bella brought to
school?
PLEASE HELP

Answers

Answer:

1. 48

2. 12 x 4 = 48

Step-by-step explanation:

Bella has 12 friends and gave each of them 4 pieces of candy. So to find out how much candy she had, you have to multiply the friends by the candy she gave them.

What does the sentence 120+n=-60 tell you

Answers

Answer:

It tells me that n=-180

Step-by-step explanation:

Christian just lit a new candle and then let it burn all the way down to nothing. The length of the candle remaining unburned, in inches, can be modeled by the equation L=6−t where t represents the number of hours since the candle was lit. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Given:

The length of the candle remaining unburned, in inches, can be modeled by the equation

[tex]L=6-t[/tex]

where, t represents the number of hours since the candle was lit.

To find:

The slope and its interpretation in the context of the problem.

Solution:

Slope intercept form of a linear function is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept or initial value.

We have,

[tex]L=6-t[/tex]

It can be written as

[tex]L=6+(-1)t[/tex]

The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.

Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.

Is it true that 5 + 4 = 4 + 5 ? Explain why.

Answers

Yes because if you answer both you get the same answer

Answer:

Yes, it is.

Step-by-step explanation:

Its just reversed add 5+4 and its 9. Now add 4+5, its also 9.

a polygon has 6 sides the interior angle measures are 118°, 115°, 131°,118°,130° find the value of x PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

X=108

Step-by-step explanation:

ASSUMING ITS A HEXAGON the sixth angle would be 108 degrees. You get this by adding all the five angles which give you 612. You then subract 612 from 720. Because 720 is the whole measure of  a hexagon. and then when you subtract you get 108.n

Other Questions
What were the first two settlements and why were they founde Differentiate : sedimentary Rocks and metamorphic rocks what is the value of - 13/ 7 + 6/ 7 Think about the life cycle of a human. On the lines below, write some of the stages that occur in the life cycle of a human. What products or items that you use or own are made in other countries? Are similar productsmade in our country? Do you think the origin of these items matters when it comes to the qualityor cost of these items? Why or why not? how many molecules are contained in 0.254 moles of diarsenic trioxide We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. What proportion of people watch 5 hrs/day or more television? How many does this correspond to in the sample? What number of television hours per day corresponds to a Z +1. What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole number Which part of Greek mythology is still used in present-day literature?the creation of a values systemthe heros journeyepic poems of warthe origins of superheroes the diameter of a sphere is Which of the following choices is not part of this course?O A. The writing processB. Parts of speechC. Free-verse poetryD. Paragraphs which problem could be modeled by the graph shown below? john has $3 saved and saves $5 more each week. how much money will he have saved after x weeks?john has $5 saved and saves $3 more each week. how much money will he have saved after x weeks?john has $5 saved and spends $3 each week. how much money will he have left after x weeks?john has $3 saved and spends $5 a week. how much money will he have left after x weeks? Read the excerpts from Chapter 4 of The Call of the Wild, and then respond to the journal prompt that follows.Buck made no effort. He lay quietly where he had fallen. The lash bit into him again and again, but he neither whined nor struggled... This was the first time Buck had failed, in itself a sufficient reason to drive Hal into a rage. He exchanged the whip for the customary club. Buck refused to move under the rain of heavier blows which now fell upon him. Like his mates, he was barely able to get up, but unlike them, he had made up his mind not to get up. He had a vague feeling of impending doom. This had been strong upon him when he pulled in to the bank, and it had not departed from him. What of the thin and rotten ice he had felt under his feet all day, it seemed that he sensed disaster close at hand...So greatly he had suffered, and so far gone was he, that the blows did not hurt much. And as they continued to fall upon him, the spark of life within flickered and went down. It was nearly out. He felt strangely numb... And then suddenly, without warning, uttering a cry that was inarticulate and more like the cry of an animal, John Thornton sprang upon the man who wielded the club.Like the rest of the novel, the above excerpt is written from third-person point of view. Rewrite the excerpt, using first-person point of view instead, with Buck as your narrator. Think about how the event might be told differently through the eyes of Buck. Make sure that you use descriptive words and phrases that create a visual image for the reader, just as Jack London did in the original. Which of these is an example of projectile motion? aa jet lifting off a runway ba roller coaster going down a steep track ca piece of fruit falling off a tree da baseball that has just been thrown An oligarchy is best described asA] No answer text provided.B] Rule of NoneC] Rule of a FewD] Rule of One I need help with my spanish homework. What is the translation of 2, 3, 4.THANK YOU! SS Writing #3 Due 10.16(Use complete sentences, correct punctuation, topic sentences, and supporting details to answer the following question.)What type of government does Cuba have? What type of government do Mexico and Brazil have? How are they different and how are they alike? (Give at least 3 similarities and differences). Identify TWO reasons the British Parliament wanted to control the American colonies. to monopolize the colonial trade and increase the revenue for its own country punish the colonists for creating their own forms of government to keep other foreign countries from taking over the colonies with their raw materials to control all of the continent of North America 8d + 4d when d = -2 Save me please what is the value of c in the question below? Who led the rebellion of the slaves?SpartacusCaesarGracchusOctavian